A single-phase source is applied to a two-terminal, passive circuit with equivalent impedance Z = 3.0 ∠ − 45 ° Ω , measured from the terminals. The source current is i ( t ) = 2 2 cos ( ω t ) kA . Determine the (a) instantaneous power, (b) real power, (c) reactive power delivered by the source, and (d) source power factor.
Solution Summary: The author explains the instantaneous power, the equivalent impedance, and the expression for the polar form.
A single-phase source is applied to a two-terminal, passive circuit with equivalent impedance
Z
=
3.0
∠
−
45
°
Ω
, measured from the terminals. The source current is
i
(
t
)
=
2
2
cos
(
ω
t
)
kA
. Determine the (a) instantaneous power, (b) real power, (c) reactive power delivered by the source, and (d) source power factor.
A 3-phase, 50 Hz, overhead transmission line delivers 10 MW at 0·8 p.f. lagging and at 66 kV. The resistance and inductive reactance of the line per phase are 10 Ω and 20 Ω respectively while capacitance admittance is 4 × 10− 4 siemen. Calculate :(i) the sending end current (ii) sending end voltage (line-to-line)(iii) sending end power factor (iv) transmission efficiencyUse nominal T method.
A 3-phase, 50 Hz, overhead transmission line delivers 10 MW at 0·8 p.f. lagging and at 66 kV. The resistance and inductive reactance of the line per phase are 10 Ω and 20 Ω respectively while capacitance admittance is 4 × 10− 4 siemen. Calculate :
(i) the sending end current (ii) sending end voltage (line-to-line)
(iii) Power angle and sending end pf (iv) transmission efficiency
Use nominal T method
S1) The serial impedance per unit length of a three-phase 140 km power transmission line is 0.09 + j0.88 ohm/ km and its admittance is j4.1x10-6 S / km. Power factor under 210 kV interphase voltage from the end of this energy transmission line A power of 150 MVA, which is 0.85 back, is drawn. Using this transmission line data and the T equivalent circuit model, the line Calculate the head voltage (V1), current (I1) and load angle.
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
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